Gandalf Lechner
(ESI Wien)
Wedge-Localized Quantum Fields on Noncommutative Minkowski Space
A model related to the free scalar field on d-dimensional noncommutative
Minkowski spacetime is discussed (d>1). Using a specific action of the proper
Lorentz group on the set of matrices given by the commutator of the
coordinates x_mu, we obtain from the free field a whole family of fields
which are localized in infinitely extended, wedge-shaped regions in Minkowski
space. These fields transform covariantly under the proper Poincare group and
moreover lead to a non-trivial two-particle S-matrix. Some comments about the
existence of local observables in this model are also made.
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